Answer:
11k^2 (k - 7)(k - 1)
Step-by-step explanation:
The highest common factor is
11k^2
Using the distributive property we get at least 2 factors.
11k^2 ( k^2 - 8k + 7)
The second factor reduces yet again.
11k^2 (k - 7)(k - 1)
Answer:
11k^2(k−7)(k−1)
Step-by-step explanation:
11k^4 − 88k^3 + 77k^2
Factor out 11.
11(k^4-8k^3+7k^2)
Consider k^4-8k^3+7k^2. Factor out k^2.
k^2(k^2−8k+7)
Consider k^2 −8k+7. Factor the expression by grouping. First, the expression needs to be rewritten as k^2+ak+bk+7. To find a and b, set up a system to be solved.
a+b=−8
ab=1×7=7
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. The only such pair is the system solution.
a=−7
b=−1
Rewrite k^2−8k+7 as (k^2−7k)+(−k+7).
(k^2−7k)+(−k+7)
Factor out k in the first and −1 in the second group.
k(k−7)−(k−7)
Factor out common term k−7 by using distributive property.
(k−7)(k−1)
Rewrite the complete factored expression.
11k^2(k−7)(k−1)
The label on a bag of chocolates states that there are 0.384 pounds of chocolates.
The actual weight of the chocolates is 0.3798 pounds.
How much lighter are the chocolates than stated on the label?
Answer:
Answer:The chocolate are 0.0042 lighter than the stated on the label
Which bag has more fruit? Use the ratios to justify your answer.
The bag that has more fruits is the second bag, because the ratio is greater.
Which bag has more fruits?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Number of fruits in the first bag : (3/8) x 60 = 22.50
Number of fruits in the second bag :(7/17) x 60 = 24.71
Here is the complete question:
Tamika has two bags of trail mix. Each has a combination of 60 pieces of fruit and nuts. Ratio of fruit to nuts in the first bag:3 5 Ratio of fruit to nuts in the second bag:7 10 Which bag has more fruit? Use the ratios to justify your answer. The first bag, because the ratio is greater. The first bag, because the ratio is smaller. The second bag, because the ratio is greater. The second bag, because the ratio is smaller.
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PLEASE HELP!! This graph shows the bird population of a large lake. Note that the
number of birds at the lake in the month of December is zero. What
does this extreme drop between November and December MOST
likely represent?
Select one:
O a. The beginning of duck hunting season.
O b. A reflection of the migratory nature of the birds at the lake.
O c. An inaccurate collection of data, and so, invalid results.
Od. A reflection of the hibernation patterns of the birds at the
lake.
The extreme drop in the graph for the number of birds between November and December MOST likely represents a reflection of the migratory nature of the birds at the lake, making option B the right choice.
In the question, we are given a graph showing the bird population of a large lake and are asked the reason for the extreme drop between November and December most likely represent.
Birds migrate in order to shift from low-resource regions to high-resource areas or vice versa. The two main items sought after are food and places to build nests.
Thus, the fall in the graph for the number of birds between November and December represents the migration pattern of birds, in search of new resources.
Hence, the extreme drop in the graph for the number of birds between November and December MOST likely represents a reflection of the migratory nature of the birds at the lake, making option B the right choice.
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Answer: A reflection of the migratory nature of the birds at the lake.
There are a total number of 38 possible equally likely outcomes on a roulette wheel. Out of the 38 outcomes, there are 18 odd-numbered outcomes. What's the probability of rolling an odd number
The probability of rolling an odd number is 9/19.
According to the statement
Total number of possible outcomes = 38
Odd numbered of outcomes = 18
Now we find the probability
Probability = possible outcomes / total outcomes
Probability = 18/38
Probability = 9/19
So, The probability of rolling an odd number is 9/19.
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Which are the solutions of x² = 19x + 12
Answer:
[tex]\{x=\frac{19-\sqrt{409} }{2}\ , \ x=\frac{19+\sqrt{409} }{2}\}[/tex]
Step-by-step explanation:
x² = 19x + 12
⇔ x² - 19x - 12 = 0
Calculating the discriminant :
b² - 4ac = (-19)² - 4×1×(-12) = 409
The discriminant is positive ,then the equation has two solutions.
[tex]x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}[/tex]
What equation is parallel to 3y = 6x-10 and passes through A(4,5)?
Answer:
57?
Step-by-step explanation:
Determine the measure of
Answer:
M: 74.579° = 74°34'43" = 1.30164
O: 49.421° = 49°25'17" = 0.86256 rad
7-2x≥15
solve for inequality
graph the solution
shade the possible solutions
1 -12 13 -4 -42 4
The solution set of the inequality is x ≤ - 4. The graph of inequality is shown below and the points x = - 4, x = - 12, x = - 42 are part of the solution set.
How to solve an inequality
In this question we must use algebraic axioms and theorems to solve an inequality and graph the solution set with the help of a graphing tool. Now we proceed to present the procedure to solve for x:
7 - 2 · x ≥ 15
7 - 15 ≥ 2 · x
2 · x ≤ - 8
x ≤ - 4
Now we present the graph of the inequality. The points x = - 4, x = - 12, x = - 42 are part of the solution set.
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PLEAZE HELP IM STUCK PLS
Answer:
[tex]T_{23}=-153[/tex]
Step-by-step explanation:
[tex]T_{23}=a+(n-1)d\\[/tex]
[tex]=a+(23-1)d=a+22d[/tex]
Now [tex]a=-21[/tex] and
[tex]d=-27-(-21)\\=-6[/tex]
So [tex]T_{23}==21+((22)6\times-1)[/tex]
[tex]=-153[/tex]
A research center poll showed that 85% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief? The probability that someone does not believe that it is morally wrong to not report all income on tax returns is (Type an integer or a decimal.)
The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15
For given question,
A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.
so, the probability that someone have this belief is P = 0.85
We know that in probability,
p = 1 - q
where;
p is probability of success
q is probability of failure.
Thus the probability that someone does not have this belief would be,
= 1 - P
= 1 - 0.85
= 0.15
Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15
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Can anyone help please?
Answer:
A'(-3, 12)B'(9, 6)C'(-6, -6)Step-by-step explanation:
Dilation about the origin multiplies each coordinate value by the dilation factor.
For dilation factor k, the new coordinates are ...
(x, y) ⇒ (kx, ky)
Your dilation factor is 3, so the transformation is ...
(x, y) ⇒ (3x, 3y)
A(-1, 4) ⇒ A'(-3, 12)
B(3, 2) ⇒ B'(9, 6)
C(-2, -2) ⇒ C'(-6, -6)
The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a v
A and B are independent events. P(S) = 0.40 and P(B) = 0.30. What is P(A and B)
The value of the probability P(A and B) is 0.12
How to determine the probability?The given parameters are
P(A) = 0.40
P(B) = 0.30
Given that the events are independent events;, we have:
P(A and B) = P(A) * P(B)
So, we have:
P(A and B) = 0.40 * 0.30
Evaluate
P(A and B) = 0.12
Hence, the value of the probability P(A and B) is 0.12
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The number of bicycles parked in the parking area on 11 days are listed
below:
27, 34, 35, 48, 48, 66, 75, 85, 85, 96, 99
Find the 50th percentile, 25th percentile, and 75th percentile.
Answer:
the 50th percentile = 66
The 25th percentile = 35
The 75th percentile = 85
Step-by-step explanation:
We have 11 numbers ,so we are dealing with an odd set of values.
Also ,we notice that the numbers are already in order.
then
the 50th percentile of the set 27, 34, 35, 48, 48, 66, 75, 85, 85, 96, 99
is the 6 number in the list [ 6 = (11+1)/2 ]
Which is 66.
The 25th percentile (the median) of the set 27, 34, 35, 48, 48
is the 3rd number [ 3 = (5+1/)2 ]
Which is 35.
The 75th percentile (the median) of the set 75, 85, 85, 96, 99
is the 3rd number [ 3 = (5+1/)2 ]
Which is 85.
Which equation can be used to solve for xxx in the following diagram?
Answer: A. 2x + 30 = 90
Step-by-step explanation:
You want to choose answer A because you know that together the section of 2x and the section of 30 equal 90 degrees (we know this because the other side shows the right angle which equals 90 degrees).
The equation 2x + 30 = 90 will be used to determine x so option (A) will be correct.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given an angle with two participants, one is 2x and another one is 30°.
Now if we look right-hand side angle it is a right-angle i.e. 90°.
Since the complete angle above a straight line is 180°
So,
2x + 30 + 90° = 180°
2x + 30 = 90
Hence "The equation 2x + 30 = 90 will be used to determine x".
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Is B equal to C in this geometry problem? I just need to know, that and then I can solve the rest.
In the right angled triangle ACD shown with isosceles triangle ABC and ADC, AB = AC = AD
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A triangle is a polygon that has three sides and three angles. Types of triangles are isosceles, equilateral and scalene.
In the diagram shown:
AB = AC = AD
In the right angled triangle ACD shown with isosceles triangle ABC and ADC, AB = AC = AD
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(5x²+36x+40)/(x+6)
Your answer should give the quotient and the remainder.
The quotient of the polynomial exists 5x+6 + (4 / x+6).
What is meant by quotient and remainder?The number of periods we have subtracted exists named the quotient (of the division of by ) The number that exists leftover after subtracting as usually as possible exists named the remainder (of the division of by ).
Given: (5x²+36x+40)/(x+6)
(5x²+36x+40)/(x+6) = 5x + (6x+40 / x+6)
Dividing the above equation
(6x+40) / (x+6) = 6+(4 / x+6)
Therefore, (5x²+36x+40)/(x+6) = 5x+6 + (4 / x+6)
The quotient of the polynomial exists 5x+6 + (4 / x+6).
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Adding and Subtracting Decimals
16.5 + 2.147=
Free Brainliest for 2 answers
REPETING: 2 ANSWERS
Answer: 14.353 or 18.647
Step-by-step explanation:
Hi.
Subtracting:
16.5 - 2.147 = 14.353
Adding:
16.5 + 2.147 = 18.647
Mike and hallie are going to a movie. together they bring $60 in cash. hallie brings three times as much cash as mike does. let m be the amount of money mike brings and let h be the amount of money hallie brings. create a system of equations that models the information given in this problem and solve it to determine how much each brought to the movie.
Mike brought $15 and Hallie brought $45 to the movie
There are many ways to define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
The value of the variable that makes the equation a true statement is the solution to the equation.
We have to find how much money Mike and Hallie brought to the movie.
Let the money Brought by Mike be $ m and by Hallie be $ h.
Mike and hallie are going to a movie. together they bring $60 in cash
m + h = $ 60.............(1)
Hallie brings three times as much cash as mike does
h = 3 m.......... (2)
Pur the value of h from equation (2) in equation (1)
m + 3 m = $ 60
4 m = $ 60
m = $ 60/4
m = $ 15
put this value of m in equation (2)
h = 3(15)
h = $ 45
Hence we created a system of equations that models the information given in this problem and Mike brought $15 and Hallie brought $45 to the movie
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Solve this for me anyone?
Answer:
52 degrees
Step-by-step explanation:
Really easy, i learned it this summer
1. 180-128=52
2. 3=52 cus alternate interior angles
(1 out of 5 parts) please help >3
Answer:
option D
Step-by-step explanation:
Convert the mixed fraction to improper fraction.As denominators are different, find the LCM of denominators.Find equivalent fractions using the LCMNow subtract and then convert improper fraction to mixed fraction.[tex]\sf 5\dfrac{3}{6}=\dfrac{33}{6}\\\\2\dfrac{1}{3}=\dfrac{7}{3}[/tex]
LCM of 6 , 3 = 6
[tex]\sf \dfrac{33}{6}-\dfrac{7}{3}=\dfrac{33}{6}-\dfrac{7*2}{3*2}\\[/tex]
[tex]\sf =\dfrac{33}{6}-\dfrac{14}{6}\\\\=\dfrac{33-14}{6}\\\\= \dfrac{19*3}{6*3=\dfrac{57}{18}}\\\\=3\dfrac{3}{18}[/tex]
im stuck on this one
The value of X is 2/3 and -3/2.
According to the statement
we have given equation is 6x^2+5x-6 =0
and we have to find x by the factorization.
Factorization defines the the operation of resolving a quantity into factors.
So, by factorization method the equation is written as
6x^2+5x-6 =0
After forming factors the equation becomes
6x^2+9x-4x-6 =0
3x(2x+3) -2(2x+3) =0
By taking common
(3x-2) (2x+3) = 0
Now equate values equal to 0. and after that the output will get in the form of value of X.
Here the value of x is 2/3 and -3/2
So, the value of X is 2/3 and -3/2.
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Which of the following graphs has x-intercepts of -1 and 2?
Answer:
this graph has an x-intercept values of -1 and 2
Mr. smith leaves 3 hours before mrs smith. if he averages 55mph and she 65mph how many hours will it take mrs smith to catch up
It will take 16hr 30min for Mrs. Smith to catch up.
To find how many hours will it take Mrs smith to catch up:Let,
t + 3 = Time of Mr. Smith
t = Time of Mrs. Smith
v1 = 55 mph the speed of Mr. Smith
v2 = 65 mph the speed of Mrs. Smith
Formula: Distance = speed × time
v1 ( t + 3) = v2t
55 ( t + 3 ) = 65t
65t = 55t + 165
65t - 55t = 165
10t = 165
t = 16.5 hr
t = 16 hr 0.5 × 60 min
t = 16 hr 30 min
Therefore, it will take 16hr 30min for Mrs. Smith to catch up.
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trying to see what my answer would be
Answer:
B. [tex]2^{-14}*5^{10}[/tex].
Step-by-step explanation:
Use the power of a power property.
[tex](2^{-7}*5^{5} )^{2}[/tex]
Multiply all the exponents in the parenthesis by 2.
[tex](2^{-7}*5^{5} )^{2}=(2^{-14}*5^{10} )[/tex]
The answer is B. [tex]2^{-14}*5^{10}[/tex].
Hope this helps!
Answer this please !
Answer:
6
Step-by-step explanation:
[tex]\frac{y}{2} =x^{2} -7[/tex]
[tex]\frac{a}{2} =2^{2} -7[/tex]
[tex]\frac{a}{2} =-3[/tex]
[tex]a=-6[/tex]
[tex]\frac{b}{2} =1^{2} -7[/tex]
[tex]\frac{b}{2} =-6[/tex]
[tex]b=-12[/tex]
From the calculations above, we learn that line l and the curve intersect at (2, -6) and (1, -12). Next, we will set up a system of linear equations to solve for the slope and the y-intercept of line l.
[tex]-6=2m+b[/tex]
[tex]-12=m+b[/tex]
[tex]-24=2m+2b[/tex]
[tex]18=-b[/tex]
[tex]b=-18[/tex]
[tex]-12=m-18[/tex]
[tex]m=6[/tex]
Therefore, the slope of line l is 6.
Answer:
slope = 6
Step-by-step explanation:
substitute the given points into the equation of the curve to find a and b
(2, a )
[tex]\frac{a}{2}[/tex] = 2² - 7 = 4 - 7 = - 3 ( multiply both sides by 2 to clear the fraction )
a = - 6
then point (2, a ) = (2, - 6 )
(1, b )
[tex]\frac{b}{2}[/tex] = 1² - 7 = 1 - 7 = - 6 ( multiply both sides by 2 )
b = - 12
then point (1, b ) = (1, - 12 )
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 6 ) and (x₂, y₂ ) = (1, - 12 )
m = [tex]\frac{-12-(-6)}{1-2}[/tex] = [tex]\frac{-12+6}{-1}[/tex] = [tex]\frac{-6}{-1}[/tex] = 6
How can you do mental math and solve 2.22 divided by 2 without writing anything down? explain.
Answer:
1.11
Step-by-step explanation:
Which statement is true about the given function?
f(x) >0 over the interval (-3).
f(x) >0 over the interval (-∞∞).
f(x) <0 over the interval (-3).
Of(x) <0 over the interval (-x).
Intro
20
10
-10
-20
Done. I need an answer ASAP
Answer: Choice C
Reason:
The curve is below the x axis on the interval [tex]-\infty < \text{x} < 3[/tex] which shortens down to the interval notation [tex](-\infty, 3)[/tex], so this is when f(x) < 0.
What are the new coordinates? Marking brainliest whoever gets it!
Answer:
a = (9,8)
b=(10,6)
c=(4,3)
Step-by-step explanation:
basically, you just take the original coordinates and add the translation to it.
so a was -1,6 so just at 10 to -1 as they are x coordinates nad add 2 to 6 because they are Y coordinates and you just do it for all of the points.
The dot plots below show the scores for a group of students who took two rounds of a quiz:
Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 5 to 9 on the line at intervals of one. There are 2 dots above the mark 5, 3 dots above the mark 6, 4 dots above the mark 7, and 1 dot above the mark 8. For the bottom dot plot there are 6 dots above the mark 6, 2 dots above the mark 8, and 2 dots above the mark 9.
Which of the following inferences can be made using the dot plot?
A. The range of each round is the same.
B. There is no overlap between the data.
C. Round 1 scores were higher than round 2 scores.
D. Round 2 scores were lower than round 1 scores.
The inference that can be made from the dot plot is the range of each round is the same.
What is the inference that can be made?A dot plot is a graph that shows the frequency of a number using dots. The greater the number of dots above a number, the greater its frequency.
Range is the difference between the largest number and smallest number.
Range of round 1 = 8 - 5 = 3
Range of round 2 = 9 - 6 = 3
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